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Synchronization and coupling of Mandelbrot sets

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Publication:395173
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DOI10.1007/S11071-010-9845-9zbMath1279.37036OpenAlexW2034278904MaRDI QIDQ395173

Yongping Zhang, Weihua Sun

Publication date: 29 January 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9845-9


zbMATH Keywords

synchronizationcouplingMandelbrot set


Mathematics Subject Classification ID


Related Items (6)

Synchronization between the spatial Julia sets of complex Lorenz system and complex Henon map ⋮ The generalized M-J sets for bicomplex numbers ⋮ Dissipative feedback control and synchronization of Julia sets of the complex standard family ⋮ Control and synchronization of Julia sets of the complex dissipative standard system ⋮ CONTROL AND SYNCHRONIZATION OF JULIA SETS OF THE COMPLEX PERTURBED RATIONAL MAPS ⋮ The symmetry in the noise-perturbed Mandelbrot set




Cites Work

  • Unnamed Item
  • Eigenvalues and eigenfunctions of one-dimensional fractal Laplacians defined by iterated function systems with overlaps
  • Homogenization for conductive thin layers of pre-fractal type
  • Semilinear equations on fractal blowups
  • Stokes' theorem for domains with fractal boundary
  • Physical meaning for Mandelbrot and Julia sets




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